Scale-Stable Two-Component Entropic Complexity on Classical and Quantum Law Spaces

Abstract

The first component, the internal law–time complexity J_int , is defined as a pathwise sum of divergences between consecutive internal laws.

Keywords

• entropy transport
• complexity
• interface entropy rate
• data-processing equivalence
• blackwell equivalence
• metric gradient flows
• wasserstein gradient flow
• jko scheme
• kullback-leibler divergence
• bures-hk distance
• fibered bures-hk
• FBHK

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